733,865

5 × 11² × 1213

733,865 has digital root 5. The neighboring primes are 733849 and 733867; its proper-divisor sum differs from the starting integer by -498,958.

Prime Factor Structure

Factorization String 5 × 11^2 × 1213

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 968,772

Proper Divisor Sum 234,907

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #733849 ← → #733867

Radix Representation

Decimal	733865
Binary	10110011001010101001 (20 bits)
Octal	0o2631251
Hexadecimal	0xB32A9

Divisor Catalog (12)

1 5 11 55 121 605 1,213 6,065 13,343 66,715 146,773 733,865

Collatz Trajectory (317 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

733,865 2,201,596 1,100,798 550,399 1,651,198 825,599 2,476,798 1,238,399 3,715,198 1,857,599 5,572,798 2,786,399 8,359,198 4,179,599 12,538,798 6,269,399 18,808,198 9,404,099 28,212,298 14,106,149 42,318,448 21,159,224 10,579,612 5,289,806 2,644,903 7,934,710 3,967,355 11,902,066 5,951,033 17,853,100 8,926,550 4,463,275 13,389,826 6,694,913 20,084,740 10,042,370 5,021,185 15,063,556 7,531,778 3,765,889 11,297,668 5,648,834 2,824,417 8,473,252 4,236,626 2,118,313 6,354,940 3,177,470 1,588,735 4,766,206 2,383,103 7,149,310 3,574,655 10,723,966 5,361,983 16,085,950 8,042,975 24,128,926 12,064,463 36,193,390

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